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Finding the Fourth Proportional to 8,165, 12,247.50 and 2,693

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Solution

The fourth proportional to 8,165, 12,247.50 and 2,693 is: 4,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165 : 12,247.50 = 2,693 : x
  2. Step 2: Convert to fraction form
    8,165/12,247.50 = 2,693/x
  3. Step 3: Cross multiply
    8,165x = 12,247.50 × 2,693
  4. Step 4: Simplify right side
    8,165x = 32,982,517.50
  5. Step 5: Solve for x
    x = 32,982,517.50/8,165
  6. Step 6: Final answer
    x = 4,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.